Question
A cheetah can catch a deer running with a speed of 72
km/h and is 72 meters ahead of it, in 8 seconds. Find the time taken by the cheetah to catch a zebra that is 195 metres ahead of it and is running with a speed which is 70% of that of the deer.Solution
Speed of the deer = 72 km/h = 72 × (5/18) = 20 m/s Distance covered by the cheetah in 8 seconds = 72 metres + distance covered by the deer in 8 seconds = 72 + 20 × 8 = 72 + 160 = 232 metres So, speed of the cheetah = 232/8 = 29 m/s Speed of the zebra = 20 × (70/100) = 14 m/s So, relative speed of the cheetah with respect to the zebra = 29 – 14 = 15 m/s Hence, time taken by the cheetah to catch the zebra = 195/15 = 13 seconds
Two friends, E and F, started a business by investing RS 1,20,000 and RS 1,80,000, respectively. They agreed to distribute their earnings in the same ra...
'P' invested Rs. 6,000 in a business. After 'n' months, 'Q' joined the business investing Rs. 3,000 more than 'P'. At the end of 15 months since 'P' st...
'Anuj' and 'Pawan' started a business by investing Rs. 40,000 and Rs. 60,000, respectively. Six months later, 'Charu' also joined the business by inves...
A and B enter into a partnership with their initial sum of Rs.30000 and Rs.48000 respectively. After 6 months, a third person C also joins them with his...
A invested Rs X in a scheme. After 6 months, B joined with Rs 1000 more than that of A. After an year, ratio of profit of B to the total profit w...
A and B start a business by investing Rs 40,000 and Rs 60,000 respectively. After 4 months, C joins with Rs 50,000. At the end of one year, the total pr...
If a sum of money is to be divided among A, B, C such that A’s share is equal to thrice B’s share and B’s share is 4 times C’s share then their ...
'A', 'B', and 'C' invested amounts of Rs. 10,000, Rs. 12,000, and Rs. 16,000, respectively, in a business for 10 months, 8 months, and 12 months, respec...
‘M’ started a business with an investment of Rs. 3500. After 6 months ‘N’ joins the business with an investment of Rs. 2600. If the total profit...
Ram started a business with the capital investing Rs 6000. After 3 months Shyam also joined him, with the capital investing Rs 4000. They make a profit ...
Relevant for Exams:
