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A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 60 kmph, and 2 hours at a speed of 70 kmph.The average speed of the car is

A.

63.07 kmph

B.

64 kmph

C.

62.02 kmph

D.

None of these

Answer with explanation

Answer: Option AExplanation

First car travels 30 min at speed of 40 kmph

distance = 40 x 1/2 = 20 m

Then car travels 45 min at a speed of 60 kmph

distance = 45 min at speed of 60 kmph

distance = 60 x 3/4 = 45 m

at last it travels 2 hours at speed of 70 kmph

distance = 70 x 2 = 140 m

Total distance = 20 + 45 + 140 = 205

Total time= 1/2 + 3/4 + 2 = 3.25

Average speed of the car = 205/3.25 = 63.07

Workspace

A Train T1 starts from Ahmedabad to Mumbai at 7 am and reaches at 12 noon. A second train T2 starts at 7 am from Mumbai reaches Ahmedabad at 1 pm. When did the two train cross each other ?

A.

10.13 am

B.

10.00 am

C.

9.43 am

D.

9.35 am

Answer with explanation

Answer: Option CExplanation

Let the distance be x between the two stations.

Train T1 takes 5 hours to reach Mumbai.

Train T2 takes 6 hours to reach Ahemedabad.

Relative speed of both the train will be added = x/5 + x/ 6 = 11x/30

Time taken = x/11x/30 = 30/11

or, (30 X 60 )/11 =~ 2.43 hours

so 7 + 2.43 = 9.43 am

Workspace

Two trains travelling in the same direction at 40 kmph and 22 kmph completely pass each other in 1 minutes. If the length of first train is 125 m, what is the length of second train ?

A.

125 m

B.

150m

C.

175 m

D.

200m

Answer with explanation

Answer: Option CExplanation

Let the length of the second train be X.

Speed of both the trains = (40 – 22) x 5/18 = 5 m/s

Thus, (125 + X)/5 = 60 sec

or, 125 + X = 300

or, X = 175m

Workspace

A train travels 225 km in 3.5 hours and 370 km in 5 hours.find the average speed of train.

A.

80 kmph

B.

60 kmph

C.

70 kmph

D.

None of these

Answer with explanation

Answer: Option CExplanation

As we know that Speed = Distance / Time

for average speed = Total Distance / Total Time Taken

Thus, Total Distance = 225 + 370 = 595 km

Thus, Total Speed = 8.5 hrs

or,Average Speed = 595/8.5

or, 70kmph.

Workspace

Two men start together to walk a certain distance, one at 4 kmph and another at 3 kmph.The former arrives half an hour before the latter. Find the distance.

A.

6 km

B.

9 km

C.

8 km

D.

None of these

Answer with explanation

Answer: Option AExplanation

Let the distance be x km. Then,

x/3 – x/4 =1/2

(4x – 3x)/12 = 1/2

x = 6 km

Workspace

A.

60 km/hr

B.

90 km/hr

C.

120 km/hr

D.

135 km/hr

Answer

Workspace

A train leaves from a station and moves at a certain speed. After 2 hours, another train leaves from the same station and moves in the same direction at a speed of 60 mph. If it catches up with the first train in 4 hours, what is the speed of the first train?

A.

20 mph

B.

30 mph

C.

50 mph

D.

40 mph

Answer with explanation

Answer: Option DExplanation

Let the speed of the first train be ‘s’.

Distance covered by the first train in (2+4) hours = Distance covered by second train in 4 hours

Therefore, 6s = 60*4

Solving which gives s=40.

So the slower train is moving at the rate of 40 mph.

Workspace

A man travels at 3 mph in still water. If the current’s velocity is 1 mph, it takes 3 hours to row to a place and come back. How far is the place?

A.

3 miles

B.

7 miles

C.

5 miles

D.

4 miles

Answer with explanation

Answer: Option DExplanation

Let the distance be ‘d’ miles.

Time taken to cover the distance upstream + Time taken to cover the distance downstream = 3

Speed upstream = 3-1 = 2 mph

Speed downstream = 3+1 = 4 mph

So, our equation would be d/2 + d/4 = 3 → solving which, we get d = 4 miles.

Workspace

A bus travels at 54km/h while moving but after accounting for stopping time, to let passengers on and off the coach, it averages a speed of 45km/h. How many minutes does the bus stop for each hour?

A.

9 minutes

B.

8 minutes

C.

5 minutes

D.

10 minutes

Answer with explanation

Answer: Option DExplanation

In one hour without stopping, the bus would have travelled 54km. Once stopping is factored in, the bus actually travels 45km. So it travels 9km less far as a consequence.

Distance/Speed = Time

9km/54kmph = 0.16 hours

0.16 x 60 = 10 minutes

So the bus stops for ten minutes in every hour on average.

Workspace

A.

4 hours

B.

5 hours

C.

3 hours

D.

2 hours

Answer with explanation

Answer: Option DExplanation

Time taken to walk one side + Time taken to ride one side = 4 hours

Time taken to ride both sides = 2 x Time taken to walk one side = 6 hours

=> Time taken to walk one side = 3 hours

Therefore, time taken to ride one side = 4 – 3 = 1 hour

Thus, time taken to ride both sides = 2 x 1 = 2 hours

Workspace

A man decided to cover a distance of 6 km in 84 minutes. He decided to cover two thirds of the distance at 4 km / hr and the remaining at some different speed. Find the speed after the two third distance has been covered

A.

2 km / hr

B.

4 km / hr

C.

3 km / hr

D.

5 km / hr

Answer with explanation

Answer: Option DExplanation

We are given that two thirds of the 6 km was covered at 4 km / hr.

=> 4 km distance was covered at 4 km / hr.

=> Time taken to cover 4 km = 4 km / 4 km / hr = 1 hr = 60 minutes

=> Time left = 84 – 60 = 24 minutes

Now, the man has to cover remaining 2 km in 24 minutes or 24 / 60 = 0.4 hours

=> Speed required for remaining 2 km = 2 km / 0.4 hr = 5 km / hr

Workspace

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