Jagat has a jar of different coloured marbles . He is using them to make packs of marbles such that each pack has 30 Red , 48 Blue and 120 Green marbles . After making packs , there are no marbles left in the jar . What is the least possible number of marbles that could be in the jar at the beginning ?
Answers
Answer:
Solution:
Distance traveled by the wheel in one revolution is the circumference of the wheel.
The diameter of the wheel of the car = 80 cm.
The radius of the wheel of the car = 40 cm
Distance travelled after 1 revolution = Circumference of the wheel
Circumference of the wheel = 2πr
= 2π (40) = 80π cm
Thus, Distance traveled in 1 revolution = 80π ----------- (1)
Speed of car = 66 km/hour
Converting the speed into cm/min
= (66 × 100000)/60 cm/min
= 110000 cm/min
Distance traveled by car in the duration of 10 minutes
= 110000 × 10 [Since, Distance = Speed × Time]
= 1100000 cm --------- (2)
Let the number of revolutions of the wheel of the car be equal to 'n'.
n × Distance traveled in 1 revolution = Distance traveled in 10 minutes
n × 80π = 1100000 [From equation (1) and (2)]
n = (1100000 × 7)/(80 × 22)
= 35000/8
= 4375
Hence, each of the wheels of the car will make 4375 revolutions.