Question

Wilma drove at an average speed of 60 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours, and on the trip back averaged 35 mi/h. She returned home 41 hours after leaving. How many miles is City A from City B

Answer 1

Answer:

574.8 miles

Step-by-step explanation:

Given:

An average speed of Wilma from City A to City B =  60 miles per hour

She stayed in City B 15 hours.

An average speed of Wilma from City B to City A  =  35 miles per hour.

Whole time taken including 15 hours stay in city B = 41 hours

Question asked:

How many miles is City A from City B ?

Solution:

Total time taken including 15 hours stay in city B = 41 hours

Total time taken on the trip excluding stay in city B = 41 - 15 = 26 hour

Let time taken during from city A to city B = $x$

Time taken during from city B to city A = $26-x$

As distance traveled from city A to city B is equal to distance traveled from  city B to city A:-

And by using : $Distance=speed\times time$

Distance traveled from city A to city B = Distance traveled from city B to A

$speed\times time$ = $speed\times time$

$60\times x=35(26-x)\\60x=910-35x$

Adding both sides by $35x$

$95x=910$

Dividing both sides by 95

$x=9.58\ hours$

Distance traveled from city A to city B = $speed\times time$

                                                               = 60 $\times$ 9.58

                                                               = 574.8 miles

Therefore, there are 574.8 miles from City A to City B.