Speed, Distance and Time — Practice Quiz
ICSE · Class 7 · Mathematics
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Quick Quiz: Speed, Distance and Time
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A train 160 m long crosses an 840 m tunnel in 1 minute. What is the speed of the train?
A train passes a 270 m platform in 38 s and a man standing on the platform in 20 s. What is the speed of the train?
A train passes a platform 270 m long in 38 s. If its speed is 15 m/s, what is the length of the train?
Two boys start from the same place. One walks at 8 km/h and the other at 9 km/h. If they walk in opposite directions for 5 hours, what is the distance between them?
Sample Questions
A journey of 360 km is covered in 5 hours. Two-thirds of the journey is covered at 80 km/h. What is the speed for the remaining journey?
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60 km/h
Step 1: Two-thirds of 360 km = 240 km. Step 2: Time for first part = 240 / 80 = 3 hours. Step 3: Remaining distance = 360 - 240 = 120 km. Step 4: Remaining time = 5 - 3 = 2 hours. Step 5: Speed for remaining journey = 120 / 2 = 60 km/h. So the remaining speed is 60 km/h.
A certain distance is covered in 40 minutes at 15 km/h. If the same distance is covered in 30 minutes, what is the increase in speed?
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5 km/h
Step 1: 40 minutes = 2/3 hour. Step 2: Distance covered = 15 × 2/3 = 10 km. Step 3: 30 minutes = 1/2 hour. Step 4: New speed = 10 / (1/2) = 20 km/h. Step 5: Increase in speed = 20 - 15 = 5 km/h. So the increase in speed is 5 km/h.
A car covers 375 m in 25 s. If it then covers 525 m at the same speed, how long does it take?
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35 s
Step 1: Speed = 375 / 25 = 15 m/s. Step 2: Time for 525 m = Distance / Speed = 525 / 15 = 35 s. So the time taken is 35 seconds.
A car travels 250 km, 120 km and 50 km at speeds of 50 km/h, 40 km/h and 25 km/h respectively. What is its average speed?
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42 km/h
Step 1: Time for first part = 250 / 50 = 5 h. Step 2: Time for second part = 120 / 40 = 3 h. Step 3: Time for third part = 50 / 25 = 2 h. Step 4: Total distance = 250 + 120 + 50 = 420 km. Step 5: Total time = 5 + 3 + 2 = 10 h. Step 6: Average speed = 420 / 10 = 42 km/h. So the average speed is 42 km/h.
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