Question

Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its destination in 32 minutes. Car B travels 12 miles farther than Car A. How fast do the cars travel?

Answer 1

Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A  reaches its destination in 17 minutes.

this means that speed of car A is given by:  $\dfrac{x}{17}$ miles/minutes  ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: $\dfrac{y}{32}$ miles/minutes

as speed of both cars are equal this means:

$\dfrac{x}{17}=\dfrac{y}{32}$------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means $y-x=12$

$y=12+x$------(2)

on using equation (1) and (2) we have:

$\dfrac{x}{17}=\dfrac{12+x}{32}\\ \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6$

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.