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​​While covering a distance of 35 km, a man noticed that after cycling for 4 hours 15 minutes, the distance covered by him was 43\frac{4}{3} 34​​of th
Question

​​While covering a distance of 35 km, a man noticed that after cycling for 4 hours 15 minutes, the distance covered by him was 43\frac{4}{3} ​of the remaining distance.

What was his speed (in km/h, rounded off to one decimal place)?

A.

5.1

B.

7.9

C.

8.4

D.

4.7

Correct option is D

Given:

Total distance = 35 km

Time cycled = 4 h 15 min = 4.25 h

Distance covered =43 \dfrac{4}{3}​ of remaining distance

Formula Used:

Speed =distancetime= \dfrac{\text{distance}}{\text{time}}​​

Solution:

Let covered distance = x km

remaining = 35 - x km

Condition: x =43(35x)= \dfrac{4}{3}(35 - x)

3x = 140 - 4x 

7x = 140

x = 20 km

speed =204.254=\frac{20}{4.25}\approx4​.7 km/h

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