Subject
Quantitative Aptitude
Topic
Speed & Distance
A man travels a distance in 10 hours, the first half of the distance at 21 km/hr and the rest at 24 km/hr. Find the distance.
A man travels a distance in 10 hours, the first half of the distance at 21 km/hr and the rest at 24 km/hr. Find the distance.
ক)
112 kmখ)
65 kmগ)
56 kmঘ)
54 kmঙ)
224 kmExplanation
Let time taken to travel the first half distance = x hr ∴ Time taken to travel the second half = (10 - x) hr We know that, Distance = Speed × Time Distance covered while traveling @21 km/hr = 21x Distance covered while traveling @24 km/hr = 24(10 – x) Distance covered in the first half = Distance covered in the second half ⇒ 21x = 24(10 - x) ⇒ 21x = 240 - 24x ⇒ 45x = 240 ⇒ x = 16/3 Hence distance covered in the first half = 21x = 21 × (16/3) = 112 km Total Distance = 2 × 112 = 224 kmRelated questions
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:Speed of a boat in standing water is 9 kmph and the speed of the stream is 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1/10 km and 9 km respectively. The time taken by slower train to cross the faster train in seconds is -A man can row three-quarters of a kilometre against the stream in 11×(1/4) minutes and down the stream in 7×(1/2) minutes. The speed (in km/hr) of the man in still water is:In a 300 m race A beats B by 5 metre or 6 seconds. B's time over the course is -A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?A boat covers a certain distance downstream in 1 hour, while it comes back in 1x(1/2) hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?A man buys tk 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is-