We read your photo as:
Two vehicles, a bus and a matatu, are traveling towards each other on a straight road connecting towns A and B, which are 840 km apart. The bus starts from town A at 11:45 a.m. traveling at a speed of
ScanSolve AI Answer
Answers
3 partsStep-by-step solution
6 stepsStep 1: Calculate the head start time and distance for the bus.
Bus leaves town A at 11:45 a.m.
Matatu leaves town B at 1:15 p.m. (which is 13:15 in 24-hour format).
Head start time for the bus = 13:15 - 11:45 = 1 hour 30 minutes = 1.5 hours.
Distance covered by the bus during its head start = Speed of bus Head start time
Distance = .
Step 2: Calculate the remaining distance and relative speed when both vehicles are traveling.
Total distance between towns A and B = 840 km.
Remaining distance when Matatu starts = .
The vehicles are moving towards each other, so their relative speed is the sum of their speeds.
Relative speed = Speed of bus + Speed of Matatu
Relative speed = .
Part a· 1 step
The time of day when the two vehicles met.
Calculate the time taken for them to meet after the Matatu started.
Time to meet = Remaining distance / Relative speed
Time to meet = .
Convert 3.6 hours to hours and minutes: .
The Matatu started at 1:15 p.m.
Meeting time = 1:15 p.m. + 3 hours 36 minutes = 4:51 p.m.The time of day when the two vehicles met is .
Part b
How far from town A they met?
Calculate the total time the bus traveled until they met.
Total time bus traveled = Head start time + Time after Matatu started
Total time bus traveled = .
Distance from town A = Speed of bus Total time bus traveled
Distance from town A = .They met from town A.
Part c
How far outside town B the bus was when the Matatu reached town A.
Calculate the time it took for the Matatu to reach town A.
Time for Matatu to reach town A = Total distance / Speed of Matatu
Time = .Calculate the total time the bus traveled until the Matatu reached town A.
The Matatu started at 1:15 p.m. and traveled for 7 hours, so it reached town A at 1:15 p.m. + 7 hours = 8:15 p.m.
The bus started at 11:45 a.m.
Total time bus traveled = 8:15 p.m. - 11:45 a.m.
In 24-hour format: 20:15 - 11:45 = 8 hours 30 minutes = 8.5 hours.Calculate the distance covered by the bus during this time.
Distance covered by bus = Speed of bus Total time bus traveled
Distance covered by bus = .Determine how far outside town B the bus was.
The bus started from town A and traveled 680 km towards town B.
The total distance between A and B is 840 km.
Since 680 km < 840 km, the bus had not yet reached town B.
Distance from town B = Total distance - Distance covered by bus
Distance from town B = .The bus was outside town B (meaning 160 km away from town B, still approaching it).
Try one yourself
A new problem that tests the same skill.
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
More Mathematics Questions

Handwritten Step-by-Step Solution
Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.
Try on WhatsApp