Saved Bookmarks
| 1. |
Sakira and Bryan depart from points x and y towards y and x respectively and travel in the same route. After meeting each other on the way, Sakira takes 7.5 hours to reach her destination, while Bryan takes 2.7 hours to reach his destination. After how many hours did they meet after starting their journey?1. 62. 4.83. 5.254. 4.5 |
|
Answer» Correct Answer - Option 4 : 4.5 Given: Let time after which they meet each other be a hour. ⇒ Time taken by Sakira to complete distance = (a + 7.5) hours ⇒ Time taken by Bryan to complete distance = (a + 2.7) hours Formula: ⇒ Distance = Speed × time S1/S2 =√(T2/T1) Where S1 and S2 are the speeds of the object T1 and T2 are the time to reach their destination after meeting Calculation: ⇒ Ratio of their time taken = (a + 7.5) : (a + 2.7) ⇒ Ratio of their speeds = (a + 2.7) : ( a + 7.5) ----(1) According to the formula SSakira/ SBryan = √(2.7/7.5) ⇒ SSakira/ SBryan = 3/5 ----(2) Now, form (1) and (2), we have (a + 2.7) : ( a + 7.5) = 3 : 5 ⇒ 5a + 13.5 = 3a + 22.5 ⇒ 2a = 9 hours ⇒ a = 4.5 hours ∴ After 4.5 hours they meet each other. |
|