Question

Truck A leaves station 1 at 9:00 a.m. and travels at the rate of 60 kph. After 2 hours, Truck B leaves the same station and travels in the same direction at the rate of 80 kph. At what time will Truck B overtake Truck A?

Answer 1

Answer:
`5:00\ PM`

Explanation:

Given

Truck A speed is
`v_a=60\ kmph`

Truck B speed is
`v_b=80\ kmph`

Truck A leaves 2 hours before truck B

Distance traveled in the 2 hour

`\Rightarrow 60* 2=120\ km`

Suppose Truck B will catch truck A after t hours

`\therefore 120+60t=80t`

`\Rightarrow 120=20t\\\Rightarrow t=6\ hr`

Overtake time is
`9:00am +2+6=5:00\ PM`