Question
The speed of current is 8 km/h. What will be the
respective downstream speed and upstream speed of a boy rowing a boat, if one fifth of the distance covered going downstream in a certain time is equal to the distance covered going upstream in the same time?Solution
Let the speed of boy in still water be X km/h. And the speed of current = 8 km/h Downstream speed = (X + 8) km/h Upstream speed = (X – 8) km/h Let time be ‘t’ hours. ⇒ [(X + 8) t]/5 = (X – 8) t ⇒ X + 8 = 5X – 40 ⇒ X = 12 km/h Downstream speed = 12 + 8 = 20 km/h Upstream speed = 12 – 8 = 4 km/h
Karan and Arjun invested money in a business in the ratio 7 : 3, respectively. After 8 months, Karan withdrew 25% of his investment, whereas Arjun incre...
‘A’, ‘B’ and ‘C’ entered into a partnership by making investments in the ratio 5:3:9, respectively. At end of the year, if the difference be...
M and N started a partnership with investments of Rs. 10,000 and Rs. 8,000. After 6 months, M increased his contribution by Rs. 2,000 and O joined with ...
A, B and C start a business and invest in the ratio 2 : 3 : 5. If the total profit at the end of the year is Rs 10000, find the share of each.
A and B started a business by investing Rs. 18,000 and Rs. 27,000 respectively. A also worked as the active manager and for that he is entitled to recei...
A and B together starts a business with investment of Rs. 800 and Rs. (x + 600), respectively. If the profit earned after 5 years is Rs.3200 and share o...
Amit and Rohit started a business by investing in the ratio 4 : 3, respectively. After 8 months, Amit withdrew 25% of his investment, whereas Rohit incr...
A, B and C enter into a partnership, A invest (X + 5000), B invest (X + 15000) and C invest (5X + 2000) for one year if B share is 10000 from total prof...
A invests Rs. (P + 800). After four months, B joins with Rs. 3P. If the ratio of B’s annual profit share to A’s is 6:5, find (P − 200).
"Abhinav" and "Pankaj" launched a business venture with investments of Rs. 1400 and Rs. 2100, respectively. The ratio of the time for which "Abhinav" an...
