The lorry left Nyeri at 7am and traveled for 1 hour (from 7am to 8am). At an average speed of 60 km/h, it covered a distance of 60 km in 1 hour.
The bus left Nairobi at 8am, so it traveled for t hours to meet the lorry. We can set up the following equation to represent this situation:
120t = 160 - 60
Here, 120t represents the distance covered by the bus at a speed of 120 km/h in t hours. The right side of the equation represents the remaining distance between Nairobi and Nyeri after the lorry has traveled for 1 hour.
Simplifying the equation, we get:
120t = 100
Dividing both sides by 120, we find:
t = 100/120 = 5/6
Therefore, it took the bus 5/6 of an hour to meet the lorry.
To find the distance from Nyeri where the vehicles met, we can substitute this value of t into the equation for the distance covered by the bus:
120(5/6) = 100
Thus, the bus traveled a distance of 100 km from Nyeri when it met the lorry.
A lorry left Nyeri at 7am to Nairobi at an average speed of 60km/h.At 8am a bus left Nairobi to Nyeri at a speed of 120 km/h.Find how far from Nyeri did the vehicle meet if the Nyeri is 160km from Nairobi
1 answer