On a bright morning, Ashley and Cecilia decided to take out their old cars from the garage and check their speeds. Just to make things for interesting, they decided to race and find out whose car was fast. So they halted their car at the starting point and began with full throttle till the finish line.
When both the car crossed the finishing line, they realized that Ashley's car was 1.2 times faster than Cecelia. Also, Cecelia had reached the finishing line 1 minutes 30 seconds later than Ashley. Ashley's car had reached the finishing line at an average speed of 60 Km/h.
With all this data given, can you find out the total distance between the starting and the finishing lines?
Solution:
7.5Km
Explanation:
Denoting Ashley with A and Cecelia with C
Speed A = 60 km/hr = 1.2 x Speed C [km/hr] = 1 km/ min
Hence Speed C = 60/1.2 [km/hr] = 50 [km/hr] = 5/6 km/ min
Time C = D [km] /Speed C [km/min] = D/Speed C [min] = D/(5/6) min = 6D/5 min = 1.2 D min
Time A = D [km] /Speed A [km/min] = D/Speed A [min] = D/(1) min = D min
Since Time C – Time A = 1.5 min
Then (1.2 – 1)D min = 0.2D min = 1.5 min
Hence D = 1.5/0.2 km = 1.5*5 = 7.5 km
The total distance as calculated above is 7.5 Km.