SOLUTION: Hi Cindy left A at 4.20pm travelling to B which was 600km away at 108km per hour. Claire left A at 5pm travelling at 124km per hour. How long did Claire take to catch up with

Question 1185541: Hi
Cindy left A at 4.20pm travelling to B which was 600km away at 108km per hour.
Claire left A at 5pm travelling at 124km per hour.
How long did Claire take to catch up with Cindy.
How far away from B were they when Claire caught up with Cindy.
Thanks
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Cindy travels for 40 minutes, or 2/3 of an hour, before Claire starts. The distance Cindy travels in those 2/3 of an hour at 108km/h is (2/3)*108 = 72km.

So at the time Claire starts, she has to drive 72km farther than Cindy to catch up to Cindy.

Claire is traveling at a speed that is 16km/h faster than Cindy.

The number of hours it takes Claire to catch up to Cindy is the difference in the distances the two need to travel, divided by the difference in their speeds.

72/16 = 9/2 = 4 1/2 hours.

So Claire traveled for 4 1/2 hours at 124km/h towards B, a distance of 558km. Since the distance from A to B is 600km, they were 600-558=42km from B when Claire caught up to Cindy.

ANSWERS:
It took Claire 4 1/2 hours to catch up to Cindy.
They were 42km from B when Claire caught up to Cindy.

RELATED QUESTIONS
Hi Bob left A at 4.20pm travelling to B which was 600km at an average speed of 108km per (answered by math_tutor2020,MathTherapy,josgarithmetic,ikleyn)

Hi Mark left town P for town Q at 10am travelling at a uniform speed of 75km per hour (answered by Solver92311)

A freight train left Tutuban station a 4 am, travelling 30 miles per hour. At 6 am, an... (answered by checkley77)

A train left the train station at 4 a.m. travelling 30 miles per hour.At 6 a.m., an... (answered by josgarithmetic)

Hi Car A left P for Q and had covered 3/8 of its journey when it passed car Bwhich was... (answered by ankor@dixie-net.com)

Mark left town P for town Q at 10am, travelling at a uniform speed of 75km/h. Jane left... (answered by ikleyn,greenestamps,MathTherapy)

cindy is driving to her grandma's house a distance of 420 miles. She left at 8am driving... (answered by lenny460)

a car travelling at 108km/hour has its speed reduced to 36 km/hour while travelling a... (answered by Fombitz)

Which is faster? Car A travelling at 10 miles per hour or Car B traveling at 15 feet per... (answered by ankor@dixie-net.com)