Question

A man riding a bike at a speed of 20 km per hour reaches his destination from home in 45 minutes. How far is the destination from the man's house?​

Answer 1

Answer:

15 km

Step-by-step explanation:

GIVEN DATA:

Speed of the bike=20km/hr

time taken =45min

To find:

The distance from the Man's house to the destination

Solution:

$speed = \frac{distance}{time}$

$1hr = 60min$

speed of the bike =x/time

let x be the distance from man's house to destination

$\frac{20km}{60min} = \frac{x}{45min}$

$\frac{20}{60} = \frac{x}{45}$

$20 \times 45 = 60x$

$900 = 60x$

$x = \frac{900}{60}$

$x = \frac{900 \div 3}{60 \div 3}$

$x = \frac{300}{20}$

$x = 15$

Therefore,x is the distance between the home and destination

Therefore,the distance from the man's house to the destination is 15 km