Ashley left the hospital and traveled toward her friend's house. Emily left one hour later traveling at 60 mph in an effort to catch up to Ashley. After traveling for four hours Emily finally caught up. Find Ashley's average speed.
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Given :- Emily left one hour later traveling at 60 mph in an effort to catch up to Ashley. After traveling for four hours Emily finally caught up.
To Find :- Ashley's average speed. ?
Solution :-
Let us assume that, Ashley's average speed is x km/h .
so,
→ In first hour distance travelled by ashley = speed * time = x * 1 = x km
now,
→ speed of emily = 60km/h
so,
→ usual speed in same direction = (60 - x) km/h
and,
→ Time taken by emily to catch ashley = 4 hours .
A/q,
→ Distance / speed = Time
→ x / (60 - x) = 4
→ x = 4(60 - x)
→ x = 240 - 4x
→ x + 4x = 240
→ 5x = 240
→ x = 48km/h (Ans.)
Hence, Ashley's average speed is 48 km/h .
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