Time and Distance
Math MCQs

Question :    If a cyclist covers a distance of 28 km in 7 hours, then how much distance will he cover in 5 hour? And what is his speed?

Correct Answer  distance = 20 kilometer & speed = 4 kilometer/hour

Solution & Explanation

Solution

Given, distance covers in 7 hour = 28 km

Thus, distance covered in 5 hour = ?

Calculation of speed using formula when time and distance is given

We know that

Speed = ^Distance/_Time

Here, distance covered by the cyclist = 28 km

And, time taken to cover the distance = 7 hour

Thus, speed of the cyclist = ^{28 4 km}/ _{7 hour}

= 4 km/h

= Thus, speed of the cyclist = 4 km/h

Calculation of distance using formula when time and speed is known

Here, speed = 4 km/h (As calculated above)

And, time = 5 hour (As given in the question)

We know that

Distance = Speed × Time

Thus, distance covered by the cyclist in the given time

= 4 km/h × 5 hour = 20 km

Thus, distance covered by the cyclist in 5 hour = 20 km

Thus, distance covered by the cyclist = 20 km and his speed = 4 km/h Answer

Calculation of speed using UNITARY METHOD when time and distance is given

Here, distance coverd = 28 km and time = 7 hour

∵ In 7 hour, the distance covered by the cyclist = 28 km

∴ In 1 hour, the distance covered by the cyclist

= ^{28 4 km}/ _{7 hour}

= 4 km

Since the cyclist covers a distance of 4 km in 1 hour

Thus, the speed of the cyclist = 4 km/h

Calculation of distance using UNITARY METHOD when time and speed is known

Here, speed = 4 km/h (As calculated above)

And, time = 5 hour (As given in the question)

∵ In 1 hour, the distance covered by the cyclist = 4 km

∴ In 5 hour, the distance covered by the cylist

= 4 × 5 km = 20 km

Thus, distance covered by the cyclist = 20 km and his speed = 4 km/h Answer

Similar Questions

(1) By running at a speed of 37 km/h how much distance a scooty will cover in 7 second?

(2) At a certain speed a car covers a distance of 6 km in 2 hours. How much distance will it cover in 3 hour?

(3) At a certain speed a scooty covers a distance of 46 km in 4 hours. How much distance will it cover in 5 hour?

(4) Find the distance covered by a cyclist in 21 hours if it covers a distance of 76 km in 11 hours.

(5) At a certain speed a cyclist covers a distance of 82 km in 3 hours. How much distance will it cover in 4 hour?

(6) By running at a speed of 42 km/h how much distance a scooty will cover in 7 second?

(7) At a certain speed a car covers a distance of 52 km in 2 hours. How much distance will it cover in 3 hour?

(8) Find the distance covered by a cyclist in 21 hours if it covers a distance of 70 km in 11 hours.

(9) Find the distance covered by a bus in 24 hours if it covers a distance of 94 km in 14 hours.

(10) By running at a speed of 9 km/h how much distance a bus will cover in 9 second?