Problema Solution
Boyd the bicyclist leaves home to visit Carlene, the race-car driver. At the same time, Carlene leaves home to visit Boyd. They each proceed at a steady rate along the same road. After passing each other, Boyd takes 25 times as long to complete the trip as Carlene. Find the ratio of their speeds.
Answer provided by our tutors
lets
v1 = the speed of Boyd the bicyclist
v2 = the speed of the race-car driver
t = the time of the travel before they meet
after t hours
Boyd the bicyclist will pass the distance of v1*t miles
the race-car driver will pass the distance of v2*t miles
after passing each other, Boyd takes 25 times as long to complete the trip as Carlene
after passing each other Boyd travels the distance of v2*t miles in (v2*t)/v1 hours time
after passing each other race-car driver travels the distance of v1*t miles in (v1*t)/v2 hours time
Boyd takes 25 times as long to complete the trip as Carlene thus
(v2*t)/v1 = 25*(v1*t)/v2
(v2/v1)^2 = 25
v2/v1 = 5
the ratio of Carline's race-car speed and Boyd's bicycle speed is 5.