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I. √(74x-250 )– x=15 √(74x-250 )=15+x On squaring both sides, we get 74x-250=225+x²+30x x²-44x+475=0 x²-25x-19x+475=0 x (x-25)- 19 (x-25)= 0 (x-19)(x-25)= 0 x=19,25 II. √(3y²-37y+18)+ 2y=18 √(3y²-37y+18)=18-2y On squaring both the sides, we get 3y²-37y+18=324+4y²-72y y²-35y+306=0 y²-17y-18y+306=0 y(y-17)- 18(y-17)= 0 (y-17)(y-18)= 0 y=17,18 Hence, x>y
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A bike departs from point X at 9:00 AM toward point Y, traveling at a speed of 45 km/h. Two hours later, a car starts from point X toward point Y at a s...
A cheetah can catch a deer running with a speed of 144 km/h and is 50 meters ahead of it, in 10 seconds. Find the time taken by the cheetah to catch a z...
A car travels 240 km in 4 hours. After 2 hours, it increases its speed by 20 km/h and covers the remaining distance in 1 hour. What is the speed of the ...
The speeds of Vishank and Karun are 60 km/hr and 90 km/hr. Initially, Karun is at a point P and Vishank is at a place Q. The distance between P and Q is...
Travelling at a speed of 54 km/h, Chaman reaches a place 3 minutes early. If he had travelled at a speed of 48 km/h, he would have been 1 minute late. W...
