Question

Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but started 8 miles before Mark. When will they meet up?

Answer 1

32 miles

Explanation:

Given data

Let the total distance be x miles

Marks speed= 16miles per hour

Trisha's speed= 12 miles per hour

Trisha has covered 8 miles and has (x-8) miles to finish line

We know that

Speed= distance/time

time= distance/speed

Hence the time taken for Mark to finish is

time= x/16---------------1

The time taken for Trisha to finish is

time= (x-8)/12-----------2

equate 1 and 2 above

x/16= (x-8)/12

cross multiply

16(x-8)= 12*x

16x-128= 12x

collect like terms

16x-12x= 128

4x=128

x= 128/4

x= 32 miles

Hence they will meet at exactly 32 miles along the way