Question
A cyclist usually takes 6 hours
to cover 240 kilometres. Find the time taken by the cyclist to cover the same distance if he travels at 25% of his usual speed.Solution
ATQ, Usual speed of the cyclist = (240/6) = 40 km/h New speed of the cyclist = 0.25 × 40 = 10 km/h New time taken = (240/10) = 24 hours Alternate Solution: Let the usual speed of the cyclist be 10x km/hr. Therefore, decreased speed = 2.5x km/hr Since the distance covered is the same and time taken is inversely proportional to the speed: Ratio of time taken with usual speed to time taken with reduced speed = 6:24 = 1:4 Required time taken = 6 × (4/1) = 24 hours
- The sum and the difference of the L.C.M and H.C.F of two numbers are 486 and 342. If one of the numbers is 18, find the other number.
What should be the minimum number of chocolates so that when distributed among 3,4,5,6 and 7 children, 1,2,3,4 and 5 chocolates are left respectively?
The HCF of two numbers is 48, and their LCM is 1440. If one of the numbers is 576, find the other number.
A, B and C start running at the same time and at the same point in the same direction in a circular stadium. A completes a round in 720 seconds, B in 10...
The HCF of two numbers is 6 and their LCM is 84. If one of these numbers is 42, then the second number is:
If the product of two numbers is 350 and their HCF is 10, then find the LCM of the given two numbers.
Let N be the greatest number that will divide 72, 105, 138 leaving the same remainder in each case. Then sum of the digits in N is:
Find difference between the LCM and HCF of 14, 42 and 77.
HCF of two numbers 64 and 96 can be expressed in the form of (20m – 108) whereas LCM of these two numbers can be expressed in the form of (60n – 18)...
- The product of two numbers is 1344 and their L.C.M is 168. What is the H.C.F of the two numbers?
Relevant for Exams:
