Skill challenge: runaway caravan

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In my next sesion I'd like to have the option for my players to get hired on to guard a caravan (plot hook to get to a dungeon) rather than do the obvious ambush combat encounter, I'd like to have a skill challenge. I was thinking that while going up a steep incline, the link between the horses and wagon breaks. The wagon, along with several PCs starts to slide back down mountain.
Best I can. Come up with is making dexterity type checks to keep the wagon in control and strength checks to stop it. All checks would count towards a common total. Any PCs who didn't participate can work to get the wagon back on the road and fixed. Strength to pull it up, knowledge (engineering) to assist/ fix.