35
Q:

A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?

A) 3560 sec B) 3600 sec
C) 3576 sec D) can't be determined

Answer:   C) 3576 sec



Explanation:

Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then 

       LR-A=36 ---------- (i) 

and LR+K=24 ---------(ii)

 

From eq.(i) and (ii)

              3(R - A ) = 2 (R + K) 

  R = 3A + 2K 

 

In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram

               = 1800 ( R - A) - 24 ( A + K)

 

 Time required = 1800(R-A)-24(A+K)(A+K)

 

= (3600 - 24) = 3576 s                            

Q:

A boy walking at the speed of 3 km/hr covers a certain distance in 3 hours 40 minutes. If he covers the same distance by cycle in 11 hours, then what is the speed (in km/hr) of cycle?

 

A) 1 B) 2
C) 4 D) 3
 
Answer & Explanation Answer: A) 1

Explanation:
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0 72
Q:

A aid can cycle at 16 km/h and walk at 7 km/h. To cover a distance of 109 km. she takes 8.5 hours. How much distance did she cover on foot?

 

A) 17.5 km B) 24.5 km
C) 21 km D) 28 km
 
Answer & Explanation Answer: C) 21 km

Explanation:
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0 207
Q:

Mark had to travel 220 km in 4.5 hours, using a train that travels at the speed of 60 km/h or a bus that travels at the speed of 40 km/h, or any combination of the two modes of transport. For how long did he travel by bus?

 

A) 1 hour B) 1 hour 30 minutes
C) 2 hours 30 minutes D) 2 hours
 
Answer & Explanation Answer: C) 2 hours 30 minutes

Explanation:
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0 120
Q:

Rain swims in an 80 in long pool. He covers 160 m in one minute by swimming from one end to the other and back, along the same straight path. Find his average speed.

 

A) 2.07 ms-1 B) 2.60 ms-1
C) 3.67 ms-1 D) 2.67 ms-1
 
Answer & Explanation Answer: D) 2.67 ms-1

Explanation:
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0 140
Q:

A car runs at a speed of 65 kmph to reach its destination in 45 minutes. What should be its speed for it to reach the destination in 36 minutes?

A) 52 B) 81.25
C) 65 D) 74
 
Answer & Explanation Answer: B) 81.25

Explanation:
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0 110
Q:

A man travelled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 870 km more in the same time. Find the actual distance travelled?

A) 40 km B) 20 km
C) 30 km D) 48 km
 
Answer & Explanation Answer: B) 20 km

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2 177
Q:

Ritesh drove at a speed of 60 km/h for 8 hours. For how many hours should he now drive at a speed of 80 km/h for the overall average speed to become 72 km/h?

 

A) 8 B) 12
C) 10 D)  15
 
Answer & Explanation Answer: B) 12

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0 167
Q:

The speed of car B is half the speed of car A. If car A covers a distance of 120 km in 1.5 hrs, what is the speed of car B?

A) 40 kmph B) 60 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: A) 40 kmph

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1 109