Please explain all the 4 questions in detail,

Eduncle Mathematical Keasoning and Aptitude Two men undertake to drive a distance of 54 km. The first performs the journey at 8 km/hr starting half an hour later, arrives 15 minutes sooner. Find the approximate ratio of the speeds of Ex.3 performs the journey at 8 km/hr. The second, the second person. ratio of the speeds of the first to 33 (A) 7: 8 (C) 9: 8 (B) 6:7 (D) 8:9 Distance to be covered= 54 km. Speed of 1st = 8 km/hr. Ans. (D) Time taken by 1st person 54/8 = 6 % hrs. Hence time taken by 2nd person = 6 % - V% - 15/60 1S 6hrs. = The ratio of time taken by them = 27/4 6 9: 8. 301S Bx.4 - As the speed and time are inversely proportional, hence ratio of their speeds ='8:9. fRaa Moving at 50 km/hr, a person reaches his office 10 min late. Next day, he increases his speed and moves take at 60 km/hr and reaches his office 5 min early. What is the distance from his home to his office? (A) (A) 75 km (B) 65 km (A) (C) 76 km (D) We can observe that difference in timings on both days is 15 min (not 5 min, as one day he is late 72 km Ans. (A) and on the other day he is early) Let the required distance = D km. As time taken at the speed of 50 kmph is more than time taken at 60 km/hr, so equation can be formed as D/50-D/60=15/60. Solving this equation, we get the answer as D 75 km. Ex.5 A farmer travelled a distance of 61 Km in 9hrs. He travelled partly on foot at the rate of 4km/hr and partly on bicycle at the rate of 9km/hr. The distance travelled in km on foot is: (A) 17 (B) 13 (C) 16 (D) 15 S (C) Let the distance travelled on foot be x km. Ans. Then, distance travelled on bicycle = (61 - x) km Total time taken by farmer to cover the distance = 9hrs So, 9 9x + 4(61 - x) = 9 x 36 Sx = 800 x = 16 km Ex.9 30 P.M. A Car driver leaves Bangalore at 8.30 A.M. and expeccts to reach a place 300 km from Bangalore at 1 At 10.30 he finds that he has covered only 40% of the distance. By how much he has to merease ulc ot the car in order to keep up his schedule? Ex.6 speed An (A) 45 Km / hr (B) 40 Km hr (C) 35 Km/ hr (D) 30 Km/ hr Ans. (D) Speed distance/time Let the original speed be 'v' km/hr IVen, car driver leaves Bangalore at 8.30 A.M. and expects to reach a place 300 km irol alore at 12.30 P.M. Time of journey 4 hours Contact

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