1

PT Usha and shelly john decide to run a marathon between Ramnagar and Jamnagar. Both start from Ramnagar at 1 pm. on the way are two towns: Ramgarh and Rampur separated by a distance of 15 km. PT Usha reaches Ramgarh in 90 minutes running at a constant speed of 40 km/hr. She takes additional 30 minutes to reach Rampur. Between Rampur and Jamnagar she maintains at average speed of v km/hr. shelly john being a professional marathon runner, maintains a constant speed of 18 km/hr. They both reach Jamnagar together after n hours. What could be the total time taken by PT Usha?

View Solution
#### Answer : Option**
C**

#### Explanation:

answer 5 hoursramnagar——-60km——ramgrah——-15km—–rampur—-(n-2)vkm—-jamnagartotal distance covered by shelly =18n

total distance covered by usha =60+15+(n-2)v=75+nv-2v18n =75+nv-2v18n-nv= 75-2vn(18-v) =75-2vn =75-2v/18-vas n being a natural number the only satisfying above equation is when v =5then n=65/13 =5

2

A cow was standing on a bridge,5m away from middle of the bridge.a train was coming towards the bridge from the end nearest to the cow.seeing this the cow ran towards the train and managed to escape when the train was 2m away frm the bridge.if it had run in the opposite direction (away frm train) it would have been hit by the train 2m before the end of the bridge.what is the length of bridge in meters assuming speed of train is 4times that of the cow ?

View Solution
#### Answer : Option**
D**

#### Explanation:

|————-Center——Cow—-|————-|Train|

When cow runs towards train then

Distance covered by cow=(x/2-5)

let speed of cow is c and it takes t1 time

then x/2-5=c*t1—(1)

distance covered by train is

m-2=4c*t1—(2)

When cow runs far away to train then

let time for collision is t2 then

distance covered=x/2+5-2 —(3)

So x/2+3=c*t2

by train m+x-2=4c*t2 —-(4)

by subtracting eqn 1 ,3 and 2,4

c(t1-t2)=-8

4c(t1-t2)=-x

by dividing both

x=32

3

A car notices a certain number (two-digit number) on the milestone on a Highway. After travelling for an hour he notices another milestone with same digits but reversed. After travelling for an hour, he notices another milestone with the same digits (but separated by ‘0’). If the speed of the car is uniform throughout the journey. What is the speed of the car?

View Solution
#### Answer : Option**
B**

#### Explanation:

Coming Soon

4

A boy goes to school from his house. On 1/4th on his way to school, he crosses a machinery station. And on 1/3rd on his way to his school, he crosses a Railway station. If he crossed the machinery station at 7:30 a.m. and the Railway station at 7:35 a.m. then how much time does he takes to reach the school?

View Solution
#### Answer : Option**
B**

#### Explanation:

Coming Soon

5

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. [CAT 2005]

At what time do Ram and Shyam first meet each other?

View Solution
#### Answer : Option**
B**

#### Explanation:

Coming Soon

6

Two friends A and B start running simultaneously on a circular track at point X. If the length of the circular track is 360 m and the speed of A and B are 12 m/s and 18 m/s, then in how much time would they meet once again at the starting point X running in the same direction?

7

Three friends P, Q and R were standing on a circular track at point X running a race at the speed. If the length of the circular track is 480 m and the speed of P, Q and R are 8 m/s 6 m/s and 12 m/s, then in how much time would they meet once again at the starting point X?

8

There is a circular track of length of 440 m. There are three persons Symonds, Harbhajan and Inzamam standing at different points of the circular track ready to start the race with the speed of 5 m/s, 10 m/s and 8 m/s respectively. Symonds and Harbhajan are standing diagrammatically opposite to each other, while Inzamam is exactly in the mid-way between Symonds and Harbhajan, such that Symonds, Inzamam and Harbhajan are standing in the clockwise order. The race started at 10:00 A.M. All the three run in clockwise direction.

At what time would Harbhajan and Symonds meet for the first time?

View Solution
#### Answer : Option**
D**

#### Explanation:

Coming Soon

9

There is a circular track of length of 440 m. There are three persons Symonds, Harbhajan and Inzamam standing at different points of the circular track ready to start the race with the speed of 5 m/s, 10 m/s and 8 m/s respectively. Symonds and Harbhajan are standing diagrammatically opposite to each other, while Inzamam is exactly in the mid-way between Symonds and Harbhajan, such that Symonds, Inzamam and Harbhajan are standing in the clockwise order. The race started at 10:00 A.M. All the three run in clockwise direction.

At what time would Harbhajan and Inzamam meet for the second time?

View Solution
#### Answer : Option**
C**

#### Explanation:

Coming Soon

10

There is a circular track of length of 440 m. There are three persons Symonds, Harbhajan and Inzamam standing at different points of the circular track ready to start the race with the speed of 5 m/s, 10 m/s and 8 m/s respectively. Symonds and Harbhajan are standing diagrammatically opposite to each other, while Inzamam is exactly in the mid-way between Symonds and Harbhajan, such that Symonds, Inzamam and Harbhajan are standing in the clockwise order. The race started at 10:00 A.M. All the three run in clockwise direction.

At what time would Inzamam and Symonds meet for the first time?

View Solution
#### Answer : Option**
C**

#### Explanation:

Coming Soon