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A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: |

A.

100 kmph

B.

110 kmph

C.

120 kmph

D.

130 kmph

Answer with explanation

Answer: Option CExplanation

Workspace

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

A.

2 : 3

B.

3 : 2

C.

3 : 4

D.

4 : 3

Answer with explanation

Answer: Option CExplanation

Workspace

An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?

A.

6 hrs 27 min

B.

6 hrs 24 min

C.

6 hrs 21 min

D.

6 hrs 30 min

Answer with explanation

Answer: Option CExplanation

Time taken to cover 600 km = (600/100)hrs =6 hrs.

Number of stoppages = 600/75 – 1 =7.

Total Time of stoppages= (3 x 7)min=21 min.

Hence, total time taken=6 hrs 21 min.

Workspace

A car covers 4 successive 3km stretches at speed of 10kmph, 20kmph, 30kmph & 60kmph resp. Its average speed is?

A.

20kmph.

B.

30kmph.

C.

25kmph.

D.

27kmph.

Answer with explanation

Answer: Option AExplanation

Average speed = total distance / total time

total distance = 4 * 3 = 12 km

total time = `3/10 + 3/20 + 3/30 + 3/60`

= `36/60` hr

speed =`12/(36 / 60)` = 20 kmph

Workspace

A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?

A.

300km

B.

400km

C.

600km

D.

None

Answer with explanation

Answer: Option CExplanation

D = 30 * 5 = 150

RS = 40 – 30 = 10

T = 150/10 = 15

D = 40 * 15 = 600 km

Workspace

How much time does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length?

A.

B.
12.1 seconds

C. 9.8 seconds

D.

Answer with explanation

Answer: Option BExplanation

Given, Length of train = 110 meter

Speed of train =72 km/hr

Length of bridge =132 metre

—> Converting Speed from km/hr into m/sec

=>Speed of train = 72 * (5/18) m/sec

= 4 * 5

= 20 m/sec

__Formula__:-Time taken by train to cross the bridge = (Length of the train + Length of the bridge) /Speed of train

= (110 + 132) / 20

= 242/ 20

= 12.1 sec

Thus,Time taken by train to cross the bridge =12.1 seconds

Workspace

Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?

A.

10 sec

B.

12 sec

C.

14sec

D.

11sec

Answer with explanation

Answer: Option BExplanation

D = 250 m + 250 m = 500 m

RS = 80 + 70 = 150 * 5/18 = 125/3

T = 500 * 3/125 = 12 sec

Workspace

An aeroplane flying 1000 km covers the first 200 km at the rate of 200 km/hr, the second 200 km at 400 km/hr, the third 200 km at 600 km / hr & last 200 km at the rate of 800 km/hr. Determine the average speed of the aeroplane.

A.

250 km/hr

B.

300 km/hr

C.

480 km/hr

D.

600 km/hr

Answer with explanation

Answer: Option CExplanation

Workspace

A.

6hrs 27min

B.

6hrs 24min

C.

6hrs 21min

D.

6hrs 30min

Answer with explanation

Answer: Option CExplanation

Time taken to cover 600 km = (600/100)hrs =6 hrs.

Number of stoppages = 600/75 – 1 =7.

Total Time of stoppages= (3 x 7)min=21 min.

Hence, total time taken=6 hrs 21 min.

Workspace

A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h and the rest at 5km/h. The total distance is

A.

4km

B.

6km

C.

6.5km

D.

9km

Answer with explanation

Answer: Option BExplanation

Total time = 1hr 24min = 60min + 24 min = 84 min = `84/60`hours

Let total distance be S.

`”Time” = “Distance” / “Speed”`

`84/64 = ((2S)/3)/4 + (S/3)/5`

`84/64 = (S/6) + (S/15)`

`84/64 = (21S)/(6*15)`

`S = (84 * 6 * 15)/(64 * 21)`

S = 6km

Workspace

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