A car leaves town A for town B (distance 320 km) at 7:00 a.m. with a speed of 64 km/h. A truck leaves town B for A 30 minutes later and travels at 56 km/h. At what time (clock) do they meet, and how far from A is the meeting point? (Round decimal values to two places)
Show answer & explanation
Correct answer: B
Explanation
Given:
Distance from A to B = 320 km
Speed of the car = 64 km/h
Speed of the truck = 56 km/h
The truck starts 0.5 hours later.
According to the formula:
Distance = Speed × Time
Let's assume the car travels for *t* hours.
Distance covered by the car = 64*t*
Distance covered by the truck = 56(*t* − 0.5)
Total distance:
64*t* + 56(*t* − 0.5) = 320
64*t* + 56*t* − 28 = 320
120*t* = 348
*t* = 2.9 hours
Time = 7:00 + 2.9 hours
= 7:00 + 2 hours 54 minutes
= 9:54 AM
Distance from A = 64 × 2.9 = 185.6 km
Time = 9:54 AM, Distance = 185.60 km