SOLUTION: Tim leaves on his bike at 10 a.m. traveling 16 mph. At 10:29 a.m. his sister noticed he forgot his wallet. She leaves on the same road at 10:30 a.m. driving 36 mph. After how ma

Question 543628: Tim leaves on his bike at 10 a.m. traveling 16 mph. At 10:29 a.m. his sister noticed he forgot his wallet. She leaves on the same road at 10:30 a.m. driving 36 mph. After how many minutes will she reach him
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How much of a head start did Tim have?
10 AM to 10:30 AM is hrs
At mi/hr, Tim goes

mi
--------------
Let = the time it takes for his sister
to catch him.
Let = the distance she has to travel
Her equation:
(1)
Tim's equation:
(2)
Note that they will both trvel for the same
amount of time after Sister leaves and Tim
has 8 miles less to travel.
Substitute (1) into (2)
(2)
(2)
(2) hrs
min
After 24 minutes she will catch him
RELATED QUESTIONS
If tim leaves at 10 am traveling down a road at 16 mph. And then at 10:30 his sister... (answered by stanbon)

I have no idea how to go about this problem, could you please help me with the set up and (answered by ankor@dixie-net.com)

At 8 am, Madge leaves home on a business trip traveling an incredible 35 mph. A half-hour (answered by richwmiller)

Billy leaves home walking to school at 1.7 m/s. His sister Sally is running a bit late... (answered by lwsshak3)

Please help me solve this : Roy leaves for work at 7 A.M. traveling 40kph. His sister... (answered by josgarithmetic)

Paul leaves his house on a bike riding at 15 mph, one hour later, Ray leaves in his car... (answered by Paul)

George leaves the house on his bike, traveling at 18mph. one hour later his wife June... (answered by jjordan95)

Tina is going for a walk, traveling at 4 mph. After 30 minutes, David leaves on his bike... (answered by josmiceli)

A scenic road around a lake Rotorua is 11 miles in length. Tom leaves the hotel on his... (answered by stanbon)