Answer:
Time taken by Beth = 2 hours
Step-by-step explanation:
Given:
Average speed of Ashley = 40 miles per hour
Average speed of Beth = 60 miles per hour
Total time taken = 5 hours
Distance covered by Ashley = Distance covered by Beth
Find:
Total time taken by Beth
Computation:
Assume, Distance covered by Beth = x
So, Distance covered by Ashley = x
Time taken by Beth = t
Time taken by Ashley = 5 - t
So,
Distance covered by Ashley = Average speed of Ashley × Time taken by Ashley
x = 40 × (5 - t)
x = 200 - 40t................Eq1
Distance covered by Beth = Average speed of Beth × Time taken by Beth
x = 60 × t................Eq2
From Eq2 - Eq1
100 t = 200
t = 2 hours
Time taken by Beth = 2 hours
