Mwangi and atieno live 60km apart mwangi leaves his home at 7:00am cycling towards otieno house at 20km/h otieno leaves his home at 8:00am cycling towards mwangi house at 8km/h

Question

A)at what time did they meet
B)how far is the meeting point from mwangi house
C)a bus 18.8m long moving at 50km/h over takes a second bus moving at 45km/h in 30seconds find the length of the second bus

Answer 1

A) To find the time they met, we need to determine the time it takes for each person to travel from their respective homes to the meeting point.

For Mwangi:
Distance = Speed * Time
60 km = 20 km/h * Time
Time = 60 km / 20 km/h
Time = 3 hours

For Otieno:
Distance = Speed * Time
60 km = 8 km/h * Time
Time = 60 km / 8 km/h
Time = 7.5 hours

They both started at different times, so to find the time they met, we need to add the time it took for each person to travel.

Total time = 3 hours + 7.5 hours
Total time = 10.5 hours

Therefore, they met at 7:00 AM + 10.5 hours = 5:30 PM.

B) To find the distance between the meeting point and Mwangi's house, we need to determine the distance Mwangi traveled in the time it took for Otieno to reach the meeting point.

Distance = Speed * Time
Distance = 20 km/h * 7.5 hours
Distance = 150 km

Therefore, the meeting point is 150 km from Mwangi's house.

C) To find the length of the second bus, we can use the formula:

Distance = Speed * Time

The distance covered by the first bus is not given, so we cannot use that information. However, we know that the second bus was overtaken by the first bus in 30 seconds.

Distance covered by the second bus = Speed * Time
Distance covered by the first bus = (Speed of first bus + Speed of second bus) * Time

We can set up the equation:

18.8 m = (50 km/h + 45 km/h) * (30 s / 3600 s/h)

First, convert the time to hours:
30 s / 3600 s/h = 0.00833 h

18.8 m = (95 km/h) * (0.00833 h)

Now, convert the length of the second bus to meters:
18.8 m * 100 cm/m = 1880 cm

1880 cm = (95 km/h) * (0.00833 h)

Now, convert the speed from km/h to cm/h:
95 km/h * 100000 cm/km = 9500000 cm/h

1880 cm = 9500000 cm/h * (0.00833 h)

Simplifying:
1880 cm = 79135.5 cm

Therefore, the length of the second bus is approximately 1880 cm.