Question

Claire left her home at 11 a.m. travelling along route 1 at 30 miles per hour. At 1 pm,Her counsin Valerie left home and started after her on the same road at 45 miles per hour.At what time did Valerie catch up with Claire ?

(Please give a step by step explanation and answer correctly)

Answer 1

Gaining speed 45 -30= 15 mph
Headstart 30x2 =60 miles
Time to catch up 60 divided 15=4 hours
Algebraic solution
30(t+2)=45t
30t+60=45t
60=45t-30t
60=15t
t=4 hours
Distance to meeting 4x45=180 miles