Question
Ramesh covered one-fourth of the total journey at 30
km/h and the rest at 45 km/h. If he took a total of 8 hours to complete the journey, how much distance did he travel at 45 km/h?Solution
ATQ,
Let the total distance be 4D km. ATQ: (D/30) + (3D/45) = 8 Or, (3D + 6D) ÷ 90 = 8 Or, (9D/90) = 8 So, D = 80 Required distance = 3 × 80 = 240 km
LCM and HCF of the two numbers are 225 and 15 respectively. One of the numbers is 45, then find the second number.
- If the product of two numbers is 225 and their HCF is 15, then find the LCM of the given two numbers.
From a point on circular track 20 km long P, Q and R started running in the same direction at the same time with speed of 4 km per hour, 2 km per hour, ...
The ratio of two numbers is 12:14 and their LCM is 168. The numbers are:
How many factors does the number 675 have in total?
- The sum of HCF and LCM of two numbers is 425. If the LCM is 16 times the HCF, and one number is 25, find the second.
The LCM of two numbers is 180, and the numbers are in the ratio 5:9. What will be the sum of the numbers?
Three bells ring at regular intervals of 28 seconds, 60 seconds, and 84 seconds, respectively. Over a span of 10 minutes, how many times will all three ...
Four machines make a beep after every 1, 3, 5 and 2 min respectively . In 5hrs , how many times do they beep together if they have just beeped to...
Three numbers are in the ratio 5:6:9 respectively. If the HCF of the numbers is 2, then find the LCM of the numbers.