Saved Bookmarks
| 1. |
Abdul travelled 300 km by train and 200 km by taxi it took 5 hours 30 min. |
| Answer» Let the speed of train be "x km/hr" and speed of taxi be "y km/hr"here , distance travelled in both cases is same ,Total distance = 300 + 200 = 260 + 240 = 500 km----------------------------------------------------------------------------------Case 1 :-Time taken by train to travel 300 km = distance/speed= 300/xTime taken by taxi to travel 200 km = 200/yso,300/x + 200/y = 5.5 hourLet 1/x = a , 1/y = b300 a + 200 b =5.5 -----> (1)-------------------------------------------------------------------------Case 2 :-Time taken by train to travel 260 km = 260/xTime taken by taxi to travel 240 km = 240/xIt is said , that , it took 6 min more ,6min = 0.1 hourtime taken = 5.5 + 0.1 = 5.6 hoursso ,260/x + 240/y = 5.6260a + 240b = 5.6 ----> (2)-------------------------------------------------------------Solving equations 1 and 2,260a + 240b = 5.6 ---------> multiply by 5300 a + 200 b =5.5 ---------> multiply by 6========================1300 a + 1200b = 281800a + 1200b = 33----------------------------------500a = 5a = 5/500= 1/100260a + 240b = 5.6260/100 + 240b = 5.62.6 + 240b = 5.6240b = 3b = 3/240= 1/80-----------------------------------------------we know that1/a = x , 1/b = yhence,x = 100y = 80speed of train = 100 km/hrspeed of taxi = 80 km/hr\xa0 | |