A car travels 25 km per hour faster than a bus for a journey of 500 km, and the bus takes 10 hours more than the car. Given below are two statements. In the light of the above statements, choose the correct answer from the options given below.
Statement I:The speed of the car is 45 km per hour.
Statement II:The speed of the bus is 20 km per hour.
ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false ✓ Correct
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true
Correct answer: (B) Both Statement I and Statement II are false
Explanation
Both Statement 1 and Statement 2 are false.
let bus speed = v, car = v + 25.
500/v - 500/(v + 25) = 10.
this gives v^2 + 25v - 1250 = 0.
v = 25, so bus = 25 and car = 50.
the claimed 45 and 20 are both wrong.
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