Practicing Success
On a river, Q is the mid-point b/w two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and form P to R in 16 hours 40 min. How long would it take to go from R to P? |
3\(\frac{3}{7}\) hrs 5 hrs 6\(\frac{2}{3}\) hrs 7\(\frac{1}{3}\) hrs |
7\(\frac{1}{3}\) hrs |
P_________ Q___________ R ↓ P to Q Q to P = 12 hrs ---- (i) This is the same time to go from Q to R and bacl, since distance is same = 12 Time to go from P to Q = Q to R total = 16 hr 40 min time from P to Q = 8 hr 20 min From eq (i) time taken from Q to P = 12 hr - 8 hr 20 min = 3 hr 40 min Time taken to go from R to P = 2 x (3 hr 40 min) = 7 hr 20 min or 7\(\frac{1}{3}\) hrs |