Question

Katherine and Beatrice are 20 miles apart when they start moving towards each other. Katherine runs at a constant speed of 5 mph and Beatrice walks at a constant speed of 3 mph. How long does it take them to meet

Answer 1

Answer:

Katherine and Beatrice will meet after 2.5hrs.

Step-by-step explanation:

Given:

Distance between Katherine and Beatrice when they start moving towards each other= 20 miles

Speed at which Katherine  runs =5 mph

Speed at which  Beatrice walks =3 mph

To Find:

Time taken for Katherine and Beatrice  to meet each other

Solution:

Let assume number of hours after which  Katherine and Beatrice = x hrs

Distance = speed x time

Distance travelled by Katherine in x hours =$5\times x$ = 5x

Distance travelled by Beatrice in x hours = $3\times x$= 3x

Total distance covered together by Katherine in x hours and Beatrice in x hours is 20 miles .

=> 5x + 3x = 20

=>8x = 20

=> $x = \frac{20}{8}$

=> $x = \frac{5}{2}$

=> x=2.5

Number of hours after which Katherine and Beatrice meets = x hrs = 2.5hrs