A motorist left ebu for Nairobi, distance of 240km,at8:00amand travelled at an average speed of 90km/another motorist left Nairobi for ebu at 8:30am and travelled at 100 .find
1. The time they met
2. How far they met from Nairobi?
1. Let x be the time (in hours) that the second motorist traveled before they met. Then the first motorist traveled for x + 0.5 hours (since they started half an hour earlier).
Using the formula distance = speed × time, we can set up the following equation:
90(x + 0.5) = 100x
Simplifying and solving for x:
90x + 45 = 100x
10x = 45
x = 4.5
So the second motorist traveled for 4.5 hours before they met, which means they met at 8:30am + 4.5 hours = 1:00pm.
2. To find the distance they met from Nairobi, we can use either of the two motorists' distances. Let's use the first motorist's distance:
distance = speed × time = 90(x + 0.5) = 90(4.5 + 0.5) = 450 km
Therefore, they met 450 km from Nairobi.