Question

A cyclist covers 950 m in 5 minutes and then again covered a distance 100m in 10 min. Find his average speed in km/ hour.

Answer 1

Answer:

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Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

Average speed is defined as

$\displaystyle \: average \: speed \: = \frac{total \: distance}{total \: time}$

GIVEN

A cyclist covers 950 m in 5 minutes and then again covers a distance 100m in 10 min

TO DETERMINE

The average speed

CALCULATION

The cyclist covers 950 m in 5 minutes

Again the cyclist covers a distance 100m in 10 min

So the total distance covered

$= 950 + 100 \: \: \: metre$

$= 1050 \: \: metre$

Total time taken

$= 5 + 10 \: \: min$

$= 15 \: \: min$

So

Average speed

$\displaystyle = \frac{total \: distance}{total \: time}$

$= \displaystyle \frac{1050}{15} \: \: metre /min$

$= \displaystyle 70 \: \: metre /min$

$= \displaystyle \frac{70 \times 60}{1000} \: \: km /hr$

$= 4.2 \: \: km /hr$