Please solve Q4,5

Please solve Q4,5 pipes can fill a cistern in 8 hours and 10 hours respectively. A third pipe can empty it i! 6 hours. How long Will 'hey take to fill the cistern ifall the taps are opened ? 3) Solve the following equations: (a) 0.25 + 95 t— 0.9 (b)5x — 4x + 4) A messengertäkesletters on foot fronßillage village B at a speed of4 km/hr. If he walks at a speed of 5 km/hr, then he reaches the destinatioh7•minutes faster: Find the distance between the two villages. 5) 108 kg of ration is sufficient for 18 students for 15 days. Find, for how many students will 70 kg of ration be sufficient for 25 days.



Dear Student,

Answer 4:

Let the distance between village A and village B be DKms.We know, Speed = DistanceTimeSo, Time = DistanceSpeedSo, If one goes at speed 4 Km/h, One would take time (t1)= D4 hrs = D4× 60 minutes = 15D minutesandIf one goes at speed 5 Km/h, One would take time (t2)= D5 hrs = D5× 60 minutes = 12D minutes{Since 1 hour = 60 minutes}In the question, we are given the difference between the time = 7 minutesSo, 15 D - 12D = 7 3 D = 7D = 73So, the distance between Village A and Viillage B is 73 kms


​​​​​​​Answer 5:

108 kg of ration is sufficient for 18 students for 15 days.So,Ration used by 18 students in one day = 10815 kgRation used by 1 student in one day = 10815×18 = 0.4 kgLet the number of students who use 70 kgs of ration for 25 days be x.So, Ration used by 1 student in 25 days = 0.4 × 25 = 10 kgsWhen x students use 70 kgs in 25 days:10 × x = 70 kgx = 7010x = 7So, 7 students use 70 kgs of ration for 25 days.


Regards
 

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