# Speed Time and Distance Test Paper 5

21) A man covers a distance of 110 km between two cities in 10 hours. He travelled partly on foot at 9 km/hr and partly on a bicycle at 15 km/hr. Find the distance travelled on foot.

1. 60 km
2. 92 km
3. 94 km
4. 96 km

The Correct answer is (A)

Let the distance travelled on foot = X km

,, the distance travelled on bicycle would be = (90 - X) km

Total time taken to cover the distance = 10 hrs

Time taken to cover the 110 km would be equal to the sum of the time taken to cover the distances partly on foot and partly on bicycle.

So,X9+110-X15= 10

5X + 3(110 -X) = 45 * 10

5X + 330 - 3X = 450

2X =450 - 330

2X = 120

X =1202= 60 km (Option A)

22) A farmer travelled from his village to city to buy seeds. He went by bicycle at a speed of 20 km/hr and came back at a speed of 5 km/hr. If the farmer took 5 hours and 40 minutes to complete his journey, find the distance between village and city?

1. 15 km
2. 19 km
3. 23 km
4. 25 km

The Correct answer is (B)

Total distance travelled = Average speed * Total time taken to complete the journey

Average speed =

Total time taken = 4 hour 45 minutes =28560 =194hour

So, Total distance travelled = 8 *194= 38 km

Distance between village and city will be half of the total distance travelled:

So, distance between village and city =382 = 19 km (Option B)

23) A man goes to his office at 23 of the speed at which he returns from the office. If his average speed is during the whole journey is 24 km/hr, at what speed the man goes to office?

1. 20 km/hr
2. 21 km/hr
3. 22 km/hr
4. 23 km/hr

The Correct answer is (A)

Let the speed of man when he returns from office = X

So, his speed when he goes to office =23X

Average speed =

Speed at which he goes to office is 23 of X,So it will be 23*30=20 km/hr (Option A)

24) The ratio between the speeds of two cars is 5:8. If the first car covers 200 km in 2 hours, find the speed of the second car.

1. 140 km/hr
2. 150 km/hr
3. 160 km/hr
4. 170 km/hr

The Correct answer is (C)

Let the speed of two cars is 5X and 8X.

=2002= 100 km/hr

Therefore, 5X = 100

X =1005 = 20 km/hr

So the speed of second car will be = 8 * 20 = 160 km/hr (Option C)

25) A man covers first 48 km of his journey in 40 minutes and next 32 km in 30 minutes. Find his average speed.

1. 64 km/hr
2. 67 km/hr
3. 70 km/hr
4. 74 km/hr

The Correct answer is (A)

Total distance = 48 + 32 = 80 km

Total time = 40 + 35 = 75 minutes =7560 hrs

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Speed Time and Distance Concepts