**Two motorists, X and Y, travelled on the same route from Town A to Town B. They each drove at a uniform speed but started their journey at a different time of the day.The table below shows some details of their journey.**

**If Motorist X reached Town B at 1625, find:**

a) the distance between the two towns and

b) the speed at which Motorist Y was travelling.

a) the distance between the two towns and

b) the speed at which Motorist Y was travelling.

**Solution**

**a)**

Consider Motorist X -----

Distance (middle portion) ----- 120 km/h x 2.5 h = 300 km

Total Distance covered ---- 60 km + 300 km + 60 km = 420 km**Answer: The total distance was 420 km.****b)**

Motorist Y -----

Middle portion ----- 420 km – 100 km – 100 km = 220 km

Speed ----- 220 km divided by 2.5 hours = 88 km/h**Answer: Speed of Motorist Y was 88 km/h.**

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