Question : A bus starts running with an initial speed of 33 km/hr and its speed increases every hour by a certain amount. If it takes 7 hours to cover a distance of 315 km, what will be the hourly increment (in km/hr) in the speed of the bus?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution :
Initial speed = 33 km/hr
Total time = 7 hours
Total distance = 315 km
Distance travelled in the first hour = 33 km
Let the hourly increment in the speed of the bus be $x$ km/hr.
So, $33+(33+x)+(33+2x)+(33+3x)+(33+4x)+(33+5x)+(33+6x) = 315$
$⇒ 21x+231 = 315$
$⇒ 21x= 84$
$⇒ x = 4$ km/hr
Hence, the correct answer is 4.
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