Question
Speed of a boat in still water is 14 km/h while the
speed of stream is ____ km/h. Total time taken by the boat to go 140 km upstream and 210 km downstream is ____ hours. The values given in which of the following options will fill the blanks in the same order in which it is given to make the above statement true: I. 6, 26 II. 4, 22.5 III. 5, 25 IV. 7, 24Solution
For I: Speed of boat = 14 km/h Speed of stream = 6 km/h Speed in upstream = 14 – 6 = 8 km/h Speed in downstream = 14 + 6 = 20 km/h Total time = 140/8 + 210/20 = 17.5 + 10.5 = 28 hours So, I can’t be the answer. For II: Speed of boat = 14 km/h Speed of stream = 4 km/h Speed in upstream = 14 – 4 = 10 km/h Speed in downstream = 14 + 4 = 18 km/h Total time = 140/10 + 210/18 = 14 + 11.67 = 25.67 hours So, II can’t be the answer. For III: Speed of boat = 14 km/h Speed of stream = 5 km/h Speed in upstream = 14 – 5 = 9 km/h Speed in downstream = 14 + 5 = 19 km/h Total time = 140/9 + 210/19 = 15.56 + 11.05 = 26.61 hours So, III can’t be the answer. For IV: Speed of boat = 14 km/h Speed of stream = 7 km/h Speed in upstream = 14 – 7 = 7 km/h Speed in downstream = 14 + 7 = 21 km/h Total time = 140/7 + 210/21 = 20 + 10 = 30 hours So, IV can’t be the answer.
The ratio between the length and breadth of a rectangular board is 7:5. If the breadth of the board is 20.5cm, find the length in cm.
28 percent of a number and 40 percent of another number are in the ratio 7: 8. What is the ratio of 50 percent of the first number to 75 percent of the ...
The ratio of number of girls to number of boys is 3 : 2 in a class of 60 students. The average marks scored by the boys in Physics is 72 and the average...
In a class, the number of students studying English and Math is in the ratio 3:4. If 12 additional students join the Math group, the ratio of students s...
120 cookies were distributed among 20 students in a class such that each boy gets 8 cookies and each girl gets 4 cookies. Find the number of boys in the...
In an orchard, the ratio of the number of mango and lichi trees is 4:7, respectively. Also, there are few apple trees in the orchard which is 50% more t...
A certain amount was divided among four people P, Q, R and S such that the amount obtained by S is 12.5% more than the amount obtained by Q. The amount ...
Ratio of runs scored by A, B and C is 3:10:8, respectively. Total number of runs scored by the team is 480, which is four times the runs scored by B. Fi...
The ratio of two numbers 'a' and 'b' is 6:2, respectively. Whereas the ratio of 'b' and 'c' is 10:11, respectively. When 14 is added to 'a', it becomes ...
- Rs. 36000 is shared among 'Pawan', 'Qureshi' and 'Raju' such that 'Pawan' receives (3/5) of what 'Qureshi' gets and (3/2) times of what 'Raju' gets. What i...
