SOLUTION: A motorcycle that travels 80km/h starts 45 minutes after a truck. If it overtake the truck in 15 minutes, what is the speed of the truck?

Question 1143161: A motorcycle that travels 80km/h starts 45 minutes after a truck. If it overtake the truck in 15 minutes, what is the speed of the truck?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the truck in km/hr
Let = distance in km the motorcycle travels in 15 min
---------------------------------------------------------------
Equation for motorcycle:
(1)
Equation for truck:
(2)
----------------------------------------
(1)
(1) km
and
(2)
(2)
(2) km/hr
---------------------------------
check answer:
In 45 min plus 15 min, the truck travels distance

OK

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A motorcycle that travels 80km/h starts 45 minutes after a truck. If it overtake the truck in 15 minutes, what is the speed of the truck?

In 15 mins (¼ hour), and at a speed of 80 km/h, the bike traveled ¼(80), or 20 km
The truck also traveled 20 km, but in (45 + 15) mins, or 1 hour, so:
RELATED QUESTIONS
A motorcycle that travels 80kph starts 45 minutes after a pick-up truck and overtakes it... (answered by mananth)
One hour after a truck has left on an overnight haul, a messenger on a motorcycle leaves... (answered by ankor@dixie-net.com)
One hour after a truck has left on an overnight haul, a messenger on a motorcycle leaves... (answered by ankor@dixie-net.com)
If a truck travels 50 miles in 20 minutes what is the average rate of speed of the... (answered by richard1234)
what is the speed of a truck that travels 10. km in 10.... (answered by rfer)
A postal truck leaves its station and heads to Chicago ,averaging 40 mph. An error in the (answered by checkley77)
A passenger train travelling at 25km/hr is moving in the same direction as the truck (answered by mananth,josgarithmetic)
A car and a truck leave the same place to travel on the same road, the truck at 35 m.p.h. (answered by Alan3354)
If a truck travels with 80 km / h, how far this truck will travel in 36... (answered by ikleyn)