A matatu left town k at 7.00am and travelled towards town M at an average speed of 60km/hr.A car left town M at 9.00am and travelled towards K at an average speed of 80km/hr. The distance between the two towns is 324km.A:find the time each vehicle arrived at their destination. B:the distance the matatu covered before the car started to move.C:the time the two vehicles met on the way....D:how far the car was from town k when they met?
Plzz show me the working of b and c
Show me the working of b&c
To find the answers to these questions, we can use the formula:
Distance (D) = Speed (S) * Time (T)
Let's solve each question step by step:
A: Find the time each vehicle arrived at their destination.
1. Matatu:
Since the matatu traveled at an average speed of 60 km/h, and the distance between the two towns is 324 km, we can use the formula to find the time it takes:
324 km = 60 km/h * Time
Time = 324 km / 60 km/h
Time = 5.4 hours
Therefore, the matatu arrived at its destination in 5.4 hours.
2. Car:
The car left town M at 9.00 am and traveled at an average speed of 80 km/h. We need to find the time it took to cover the distance:
324 km = 80 km/h * Time
Time = 324 km / 80 km/h
Time = 4.05 hours
Therefore, the car arrived at its destination in 4.05 hours.
B: Find the distance the matatu covered before the car started to move.
The car started at 9.00 am, two hours after the matatu.
Since the matatu was traveling for 5.4 hours, we subtract the two-hour delay:
Distance covered by matatu = Speed * Time
Distance covered by matatu = 60 km/h * (5.4 hours - 2 hours)
Distance covered by matatu = 60 km/h * 3.4 hours
Distance covered by matatu = 204 km
Therefore, the matatu covered 204 km before the car started to move.
C: Find the time the two vehicles met on the way.
To find the time they met, we need to consider the time the car took to catch up to the matatu.
Time taken by the car to catch up = Distance / Relative Speed
Relative Speed = Speed of car - Speed of matatu = 80 km/h - 60 km/h = 20 km/h
Time taken by the car to catch up = 204 km / 20 km/h
Time taken by the car to catch up = 10.2 hours
Therefore, the two vehicles met on the way after 10.2 hours.
D: Find how far the car was from town K when they met.
To find the distance the car was from town K when they met, we need to calculate the distance traveled by the car in 10.2 hours:
Distance traveled by the car = Speed * Time
Distance traveled by the car = 80 km/h * 10.2 hours
Distance traveled by the car = 816 km
Therefore, the car was 816 km away from town K when they met.
At time t hours from 7:00, the distances traveled by the vehicles was
Matatu: 60t
Car: 80(t-2)
Since the total distance between K and M is 324 km, when the vehicles meet, we have
60t+80(t-2) = 342
t = 251/70 = 3:35:08
(A)
Matatu 7:00 + 324/60 = 12:24
Car: 9:00 + 324/80 = 13:03
I think B and C are now within your abilities...