Get premium membership and access questions with answers, video lessons as well as revision papers.

A bus left Nairobi at 8. 00 a.m and travelled towards Kisumu at an average speed of 80 km/hr.

      

A bus left Nairobi at 8. 00 a.m and travelled towards Kisumu at an average speed of 80 km/hr. At 8.30 a.m a car left Kisumu towards Nairobi at an average speed of 120 km/hr. Given that the distance between Nairobi and Kisumu is 400 km, calculate.
a) The time the car arrived in Nairobi
b) The time the two vehicles met
c) The distance from Nairobi to the meeting point

  

Answers


John
a) Nairobi 400 km Kisumu

Speed = 120 km\hr

Distance 400 km

Time taken = $\frac{400}{120}$

= 3 hrs 20 minutes

= 8.30 + 3 hrs 20 minutes

= 11.50 a.m

The car arrived in Nairobi

At 11.50 a.m

b) At 8.30 a.m distance covered by bus

= $\frac{1}{2}$ x 80 = 40 km

Distance left = 360 km

speed = 200 km\hr

Time taken to meet

= $\frac{360}{120}$ = 1 hr 48 minutes

they met at

8.30
+ 1.48

10.18 am

c) 8. 00 to 10.18 am

= 2 hrs 18 min

Distance

= 2 x 80 + $\frac{18}{60}$ x 80

= 160 + 24 = 184 km from Nairobi
johnmulu answered the question on March 7, 2017 at 07:49


Next: Determine the amplitude and the period for the graph of
Previous: Make x the subject of the formula -n =$\sqrt{\frac{Mx \; - d}{x \; + y}}$

View More Mathematics Questions and Answers | Return to Questions Index


Learn High School English on YouTube

Related Questions