Question

A Matatu and a Nissan left town A for town B 240km away at 8.00am travelling at a speed of 90km/hr and 120 km/h respectively. After 20minutes the Nissan had a puncture which took 30minutes to mend.

1. How far from town A did the Nissan catch up with the Matatu? (6marks)
2. At what time did the Nissan catch up with the Matatu? (1mark)
3. At what time did the Matatu reach town B

Answer 1

1. How far from town A did the Nissan catch up with the Matatu? 
   M2 90 kms/hr
   A                        40km                             b
   8.00am                 8.20                         240km
   D n=20/60 x 120 = 40km
   Dm = 50/60 x 90 = 75km
   Difference = 75-40
   35km
   Time to
   35/120ups = 35/30
   = 1 /6
   = 1 hir 10mins
   D = 35/30 x 120 = 140km
   140+40=180km
   From A
2. At what time did the Nissan catch up with the Matatu?
   Time .8.50
           1.10      
         10.00a.m
3. At what time did the Matatu reach town B (3marks)
   T-240/90 = 2hrs 40mins
   Time = 8.00am
              2.40     
              10.40 am