Question
The speed of the boat A and B in still water are in the
ratio 15:13. The speed of the current for both boats is 16 km/hr. If the sum of time taken by boat A in downstream to travel 184 km and time taken by boat B to travel 40 km in upstream is 8 hours. Find the difference between the speed of boat A in upstream and B in downstream.Solution
Let the speed of the boats ‘A and ‘B’ in still water be ‘15x’ km/hr and ‘13x’ km/hr, repectively Speed of boat ‘A’ in downstream = (15x+16) km/hr Speed of boat ‘B’ in upstream = (13x-16) km/hr According to the question, 
(2444x – 3008) + (600x+640) = 8*(195x2 –32x-256) 3004x-2368 = 1560x2 –256x-2048 1560x2 – 3260x + 320 = 0 78x2 – 163x + 16 = 0 X= 1.98 or 0.10 X= 2 approx. Speed of the boat A and B in still water is 30km/hr and 26 km/hr . Speed of boat A in upstream = 30-16 = 14 km/hr Speed of the boat B in downstream = 26+16 = 42 km/hr Required sum = 14km/hr +42 km/hr = 56 km/hr.
P walks around a circular field at the rate of one round per hour while Q runs around it the rate of five rounds per hour. They start at same point at 8...
The two places are 60 km apart. A and B start walking towards each other at the same time and meet each other after 6 hours. Had A traveled with 2/3rd o...
A man travels a specific distance at a given speed, completing the journey in a set amount of time. If he had reduced his speed by 10 km/h, it would hav...
A train takes 46 seconds to cross the 214 m long bridge. If the same train takes 23 seconds to cross a signal board, tell the length of the train. (In m...
A can complete a task in 20 days, and B can complete the same task in 25 days. If A works for 6 days and then leaves, in how many days will B complete t...
A train travels at an average speed of 75 km per hour without stoppage and with stoppages it covers the same distance at an average speed of 55 km/hr. H...
- In a 800 metres race, Tanya beats Ravi by 160 metres and Sumit by 240 metres. By how many metres does Ravi beat Sumit in the same race?
A car rental service charges ₹500 for the first 100 kilometers and ₹8 for each additional kilometer. If a customer drives 150 kilometers in a day an...
- Two runners M and N run in opposite directions on a circular track of 1500 metres. M runs at 30 m/s and N at 45 m/s. After how many seconds will they both ...
Ratio of speeds of ‘A’ and ‘B’ is 6:7, respectively. If they participate in a 140-metre race and ‘B’ gives ‘A’, a head start of ‘m’ ...
