Time and Distance
MCQs Math

Question:   ( 1 of 10 )  Find the distance covered by a cyclist in 21 hours if it covers a distance of 74 km in 11 hours.

(A)  2266
(B)  2265
(C)  2267
(D)  1133

You selected   113.06 km

Correct Answer  141.33 km

Solution And Explanation

Solution

Given,

Distance = 74 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

Here the speed and time are given. So, we need to find the speed to calculate the distance covers in the given time.

Method (1) Using Formula

Calculation of Speed using formula

Formula to find the speed

Speed = Distance/Time

= 74/11 = 6.73 km/h

Thus, speed = 6.73 km/h

Calculation of the distance in the given time using formula

Formula to find the distance

Distance = Speed × Time

= 6.73 km/h × 21 hour = 141.33 km

Thus, the distance covered in the given time = 141.33 km Answer

Method (2) Using Unitary Method

Calculation of the Distance using formula

Given,

Distance = 74 km

Time = 11 hour

Thus, distance covers in 21 hour = ?

∵ In 11 hours the distance covered = 74 km

∴ In 1 hour the distance covered = 74/11 km

∴ In 21 hours the distance covered

= 74/11 × 21 km

= 74 × 21/11 km

= 1554/11 = 141.33 km

Thus, the distance covered in the given time = 141.33 km Answer


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